What is the volume of a cube with sides that each measure 5 cm?
Answer (1)
The problem asks for the volume of a cube given the side length.
The formula for the volume of a cube is V = s 3 , where s is the side length.
Substitute the given side length s = 5 cm into the formula and calculate the volume.
The volume of the cube is 125 cm 3 .
Explanation
Problem Analysis We are given a cube with sides that each measure 5 cm. Our goal is to find the volume of this cube.
Volume Formula The volume of a cube is given by the formula: V = s 3 where V is the volume and s is the side length of the cube.
Calculation In this case, the side length s is 5 cm. Substituting this value into the formula, we get: V = ( 5 cm ) 3 V = 5 3 cm 3 V = 125 cm 3
Final Answer Therefore, the volume of the cube is 125 cubic centimeters.
Examples
Cubes are common in everyday life, from sugar cubes to dice. Knowing how to calculate the volume of a cube is useful in many practical situations. For example, if you are building a cubic storage box, you need to know its volume to determine how much it can hold. If each side of the box measures 50 cm, then the volume of the box would be 50 cm × 50 cm × 50 cm = 125 , 000 cm 3 . This tells you the amount of space available inside the box.
